Question: (a) For a given system/process, how does one decide what probability distribution is appropriate?

b) Present a logical rationale for choosing the probability distribution that could represent the following situation. When you go to your local super market to purchase a 2-liter bottle of Coke, you notice that the bottles are not filled to equal levels. Model the (random) variation in the level of soft drink within each bottle.

c) Okay, now present a logical rationale for choosing the probability distribution for this situation. As an owner of a grapefruit orchard you utilize mechanical tree shakers, rather than transient labor, to harvest your fruit. Assuming that the orchard consists of mature trees, all planted at the same time, what distribution would you use to model the variation in the number of grapefruit obtained from each tree?

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